论文信息 - Three adaptive discrete least squares cubic spline procedures for the compression of data

Three adaptive discrete least squares cubic spline procedures for the compression of data

Abstract Three algorithms are developed for the compression of one-dimensional data by loosely coupled cubic splines. spline knots are located by adaptive iterative searches. The methods are applied to the compression of profile retrieval coefficients obtained from NOAA radiosonde/radiometric data. Additional compression is achieved by error acceptable, significant figure rounding, coupled with storage in integer strings. The results are compared with compression by finite-length discrete Fourier series computed by FFT procedures.

Ed R. Westwater | P. M. Prenter

[1] R. E. Carlson,et al. Monotone Piecewise Cubic Interpolation , 1980 .

[2] G. D. Taylor,et al. Adaptivel1-l2 curve fitting , 1979 .

[3] Robert A. Schowengerdt,et al. Image reconstruction by parametric cubic convolution , 1982, Comput. Graph. Image Process..

[4] Azriel Rosenfeld,et al. Digital Picture Processing , 1976 .

[5] G. Anderson,et al. Piecewise Fourier Transformation for Picture Bandwidth Compression , 1971 .

[6] G D Taylor. Data Fitting: Some Adaptive Methods. , 1979 .

[7] Azriel Rosenfeld,et al. Picture processing: 1976 , 1977 .

[8] Frederick H. Raab. Binary data compression by linear transformation , 1973, Comput. Graph. Image Process..

[9] Jian Kang Wu,et al. Compression of image information in electron images , 1981 .

[10] Carl de Boor,et al. A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[11] R. E. Burge,et al. Adaptive bit allocation for image compression , 1982, Comput. Graph. Image Process..

[12] John M. Einbu. Nonlinear reduction of data , 1983, Comput. Vis. Graph. Image Process..

[13] M. Powell,et al. Approximation theory and methods , 1984 .

[14] G. D. Taylor,et al. Restricted range adaptive curve fitting , 1979 .

[15] I. J. Schoenberg,et al. ON POLYA FREQUENCY FUNCTIONS. III. THE POSITIVITY OF TRANSLATION DETERMINANTS WITH AN APPLICATION TO THE INTERPOLATION PROBLEM BY SPLINE CURVES( , 1953 .

[16] L. Schumaker. Spline Functions: Basic Theory , 1981 .